When I turn off the ignition the seat belt warning light comes back on very dim.

What is your question?

The Jeep starts normally with the seat belt warning light going off in about 10 seconds whether the belt is on or off. But when I turn off the ignition the light will come back on in about 30 seconds but it very dim and it will stay on until the Jeep is started again. I didn't have the problem until I recently replaced the starter and positive battery cable. I'm tempted to unplug the warning light but I am also worried about this being a possible short in the wiring. Thanx for any suggestions of where to look.